| Publication | Date of Publication | Type |
|---|
| A graph convolutional autoencoder approach to model order reduction for parametrized PDEs | 2024-04-09 | Paper |
| Structure-preserving model order reduction of Hamiltonian systems | 2024-03-22 | Paper |
| Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps | 2024-03-19 | Paper |
| Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems | 2024-02-29 | Paper |
| Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation | 2024-02-28 | Paper |
| FC-based shock-dynamics solver with neural-network localized artificial-viscosity assignment | 2024-01-09 | Paper |
| Hybrid high-resolution RBF-ENO method | 2024-01-05 | Paper |
| Perfectly matched layers for the Boltzmann equation: stability and sensitivity analysis | 2023-12-05 | Paper |
| Localized model order reduction and domain decomposition methods for coupled heterogeneous systems | 2023-11-30 | Paper |
| Asymptotic models of the diffusion MRI signal accounting for geometrical deformations | 2023-11-03 | Paper |
| Positional Embeddings for Solving PDEs with Evolutional Deep Neural Networks | 2023-08-07 | Paper |
| A new variable shape parameter strategy for RBF approximation using neural networks | 2023-06-28 | Paper |
| An artificial neural network approach to bifurcating phenomena in computational fluid dynamics | 2023-06-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q6162226 | 2023-06-15 | Paper |
| Projective multiscale time-integration for electrostatic particle-in-cell methods | 2023-05-09 | Paper |
| Reduced basis methods for time-dependent problems | 2023-04-14 | Paper |
| Multi-fidelity surrogate modeling using long short-term memory networks | 2023-01-23 | Paper |
| Fourier Collocation and Reduced Basis Methods for Fast Modeling of Compressible Flows | 2022-10-18 | Paper |
| Model order reduction for compressible flows solved using the discontinuous Galerkin methods | 2022-08-31 | Paper |
| A data-driven shock capturing approach for discontinuous Galerkin methods | 2022-08-24 | Paper |
| Multi-fidelity surrogate modeling using long short-term memory networks | 2022-08-05 | Paper |
| Discovery of slow variables in a class of multiscale stochastic systems via neural networks | 2022-06-01 | Paper |
| Physics-informed machine learning for reduced-order modeling of nonlinear problems | 2022-04-29 | Paper |
| Controlling oscillations in spectral methods by local artificial viscosity governed by neural networks | 2022-04-21 | Paper |
| Rank-adaptive structure-preserving model order reduction of Hamiltonian systems | 2022-03-11 | Paper |
| A Hierarchical Preconditioner for Wave Problems in Quasilinear Complexity | 2022-02-09 | Paper |
| Multi-fidelity regression using artificial neural networks: efficient approximation of parameter-dependent output quantities | 2022-01-26 | Paper |
| Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces \(W^{m,p} (\Omega)\) | 2021-12-14 | Paper |
| RBF based CWENO method | 2021-12-02 | Paper |
| A local discontinuous Galerkin method for two-dimensional time fractional diffusion equations | 2021-11-19 | Paper |
| Non-Intrusive Reduced Order Modeling of Convection Dominated Flows Using Artificial Neural Networks with Application to Rayleigh-Taylor Instability | 2021-11-09 | Paper |
| A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework | 2021-11-01 | Paper |
| Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation | 2021-08-04 | Paper |
| Modeling synchronization in globally coupled oscillatory systems using model order reduction | 2021-06-16 | Paper |
| Structure-preserving reduced basis methods for Poisson systems | 2021-06-07 | Paper |
| Systematic sensor placement for structural anomaly detection in the absence of damaged states | 2021-04-26 | Paper |
| Multi-fidelity regression using artificial neural networks: efficient approximation of parameter-dependent output quantities | 2021-02-26 | Paper |
| Detecting troubled-cells on two-dimensional unstructured grids using a neural network | 2021-01-27 | Paper |
| Conservative Model Order Reduction for Fluid Flow | 2020-12-18 | Paper |
| Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem | 2020-12-10 | Paper |
| Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism | 2020-07-07 | Paper |
| Controlling oscillations in high-order discontinuous Galerkin schemes using artificial viscosity tuned by neural networks | 2020-07-02 | Paper |
| Constraint-aware neural networks for Riemann problems | 2020-07-02 | Paper |
| An edge detector based on artificial neural network with application to hybrid compact-WENO finite difference scheme | 2020-06-10 | Paper |
| Rare event simulation for large-scale structures with local nonlinearities | 2020-05-28 | Paper |
| A non-intrusive multifidelity method for the reduced order modeling of nonlinear problems | 2020-05-14 | Paper |
| Two-dimensional RBF-ENO method on unstructured grids | 2020-05-07 | Paper |
| Model order reduction for large-scale structures with local nonlinearities | 2020-04-16 | Paper |
| Reduced order modeling for nonlinear structural analysis using Gaussian process regression | 2020-04-09 | Paper |
| Data-driven reduced order modeling for time-dependent problems | 2020-04-09 | Paper |
| Efficient preconditioning of \(h p\)-FEM matrix sequences with slowly-varying coefficients: an application to topology optimization | 2020-04-06 | Paper |
| A homotopy method with adaptive basis selection for computing multiple solutions of differential equations | 2020-01-31 | Paper |
| Structure-preserving model-reduction of dissipative Hamiltonian systems | 2019-11-13 | Paper |
| A nodal discontinuous Galerkin finite element method for the poroelastic wave equation | 2019-08-26 | Paper |
| Entropy stable essentially nonoscillatory methods based on RBF reconstruction | 2019-08-20 | Paper |
| Communication-aware adaptive parareal with application to a nonlinear hyperbolic system of partial differential equations | 2019-06-26 | Paper |
| An artificial neural network as a troubled-cell indicator | 2019-06-25 | Paper |
| Non-intrusive reduced order modeling of nonlinear problems using neural networks | 2018-08-10 | Paper |
| Multilevel and local time-stepping discontinuous Galerkin methods for magma dynamics | 2018-07-30 | Paper |
| Numerical Methods for Conservation Laws | 2018-06-29 | Paper |
| Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction | 2018-06-14 | Paper |
| Symplectic Model-Reduction with a Weighted Inner Product | 2018-03-21 | Paper |
| Structure Preserving Model Reduction of Parametric Hamiltonian Systems | 2017-11-17 | Paper |
| Modeling 3D Magma Dynamics Using a Discontinuous Galerkin Method | 2017-10-27 | Paper |
| Adaptive WENO methods based on radial basis function reconstruction | 2017-10-27 | Paper |
| High-order accurate adaptive kernel compression time-stepping schemes for fractional differential equations | 2017-10-27 | Paper |
| Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method | 2017-10-24 | Paper |
| Staircase-free finite-difference time-domain formulation for general materials in complex geometries | 2017-08-25 | Paper |
| Efficient preconditioning of \(hp\)-FEM matrices by hierarchical low-rank approximations | 2017-08-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5268668 | 2017-06-20 | Paper |
| Efficient Solution of Ordinary Differential Equations with High-Dimensional Parametrized Uncertainty | 2017-06-07 | Paper |
| Modeling Magma Dynamics with a Mixed Fourier Collocation — Discontinuous Galerkin Method | 2017-06-07 | Paper |
| A Kernel Compression Scheme for Fractional Differential Equations | 2017-03-10 | Paper |
| High-order accurate local schemes for fractional differential equations | 2017-03-02 | Paper |
| Multi-dimensional hybrid Fourier continuation-WENO solvers for conservation laws | 2016-12-05 | Paper |
| Stable multi-domain spectral penalty methods for fractional partial differential equations | 2016-12-05 | Paper |
| Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials | 2016-12-05 | Paper |
| A multi-domain spectral method for time-fractional differential equations | 2016-12-05 | Paper |
| A parareal method for time-fractional differential equations | 2016-12-05 | Paper |
| Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes | 2016-12-05 | Paper |
| On the use of ANOVA expansions in reduced basis methods for parametric partial differential equations | 2016-11-01 | Paper |
| Book Reviews | 2016-04-13 | Paper |
| Characterization of Image Spaces of Riemann-Liouville Fractional Integral Operators on Sobolev Spaces $W^{m,p}(\Omega)$ | 2016-03-21 | Paper |
| Local discontinuous Galerkin methods for fractional ordinary differential equations | 2016-02-01 | Paper |
| Numerical approximation of the fractional Laplacian via \(hp\)-finite elements, with an application to image denoising | 2015-12-09 | Paper |
| Certified Reduced Basis Methods for Parametrized Partial Differential Equations | 2015-09-08 | Paper |
| A Preconditioner Based on Low-Rank Approximation of Schur Complements | 2015-08-31 | Paper |
| Accuracy of High Order and Spectral Methods for Hyperbolic Conservation Laws with Discontinuous Solutions | 2015-08-05 | Paper |
| Reduced Basis Multiscale Finite Element Methods for Elliptic Problems | 2015-07-30 | Paper |
| High-Order Multiscale Finite Element Method for Elliptic Problems | 2015-05-19 | Paper |
| On the Use of Reduced Basis Methods to Accelerate and Stabilize the Parareal Method | 2015-04-14 | Paper |
| Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations | 2014-05-19 | Paper |
| Multiscale modelling of sound propagation through the lung parenchyma | 2014-05-02 | Paper |
| Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods | 2014-05-02 | Paper |
| Book Reviews | 2014-04-24 | Paper |
| Local Discontinuous Galerkin methods for fractional diffusion equations | 2014-02-24 | Paper |
| A reduced basis method for electromagnetic scattering by multiple particles in three dimensions | 2012-12-20 | Paper |
| Certified reduced basis method for electromagnetic scattering and radar cross section estimation | 2012-12-17 | Paper |
| A generalization of the Wiener rational basis functions on infinite intervals. II: Numerical investigation | 2012-10-22 | Paper |
| Certified Reduced Basis Method for the Electric Field Integral Equation | 2012-08-30 | Paper |
| Computation of connection coefficients and measure modifications for orthogonal polynomials | 2012-07-31 | Paper |
| Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws | 2012-05-18 | Paper |
| A natural-norm successive constraint method for inf-sup lower bounds | 2012-02-08 | Paper |
| Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method | 2011-07-20 | Paper |
| A generalization of the Wiener rational basis functions on infinite intervals: Part I–derivation and properties | 2011-07-08 | Paper |
| A Seamless Reduced Basis Element Method for 2D Maxwell’s Problem: An Introduction | 2011-05-18 | Paper |
| Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations | 2011-03-16 | Paper |
| On ANOVA expansions and strategies for choosing the anchor point | 2010-12-20 | Paper |
| Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty | 2010-12-10 | Paper |
| Implicit-explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning | 2010-10-28 | Paper |
| Filtering in Legendre spectral methods | 2010-08-03 | Paper |
| Improved successive constraint method baseda posteriorierror estimate for reduced basis approximation of 2D Maxwell's problem | 2009-11-23 | Paper |
| Predicting transport by Lagrangian coherent structures with a high-order method | 2009-09-18 | Paper |
| Discontinuous Galerkin method for computing gravitational waveforms from extreme mass ratio binaries | 2009-09-11 | Paper |
| Polymorphic nodal elements and their application in discontinuous Galerkin methods | 2009-03-09 | Paper |
| A monotonic evaluation of lower bounds for inf-sup stability constants in the frame of reduced basis approximations | 2009-01-08 | Paper |
| A level set discontinuous Galerkin method for free surface flows | 2007-09-20 | Paper |
| Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes | 2007-09-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5756148 | 2007-08-16 | Paper |
| Nodal DG-FEM solution of high-order Boussinesq-type equations | 2007-03-14 | Paper |
| Idempotent filtering in spectral and spectral element methods | 2007-01-09 | Paper |
| Spectral Methods for Time-Dependent Problems | 2007-01-03 | Paper |
| Non-linear PML equations for time dependent electromagnetics in three dimensions | 2006-10-31 | Paper |
| Padé-Legendre interpolants for Gibbs reconstruction | 2006-10-31 | Paper |
| Reduced Navier--Stokes equations near a flow boundary | 2006-06-30 | Paper |
| Spectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDEs | 2006-06-02 | Paper |
| High-Order Collocation Methods for Differential Equations with Random Inputs | 2006-05-30 | Paper |
| Computational Modeling of Uncertainty in Time-Domain Electromagnetics | 2006-05-30 | Paper |
| High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids | 2006-04-28 | Paper |
| High–order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem | 2005-09-01 | Paper |
| Uncertainty analysis for the steady-state flows in a dual throat nozzle | 2005-05-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4659231 | 2005-03-21 | Paper |
| A spectral multidomain penalty method model for the simulation of high Reynolds number localized incompressible stratified turbulence | 2005-01-11 | Paper |
| On the constants in \(hp\)-finite element trace inverse inequalities. | 2004-01-23 | Paper |
| Nodal high-order methods on unstructured grids. I: Time-domain solution of Maxwell's equations | 2002-12-16 | Paper |
| Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations | 2002-12-16 | Paper |
| Adaptive high-order finite-difference method for nonlinear wave problems | 2002-10-22 | Paper |
| Long time behavior of the perfectly matched layer equations in computational electromagnetics | 2002-08-20 | Paper |
| Convergent Cartesian grid methods for Maxwell's equations in complex geometries. | 2002-03-19 | Paper |
| Spectral methods for hyperbolic problems | 2001-11-29 | Paper |
| Spectral penalty methods | 2001-07-19 | Paper |
| A pseudo-spectral scheme for the incompressible Navier-Stokes equations using unstructured nodal elements | 2001-05-28 | Paper |
| Well-posed perfectly matched layers for advective acoustics | 2000-11-12 | Paper |
| Stable Spectral Methods on Tetrahedral Elements | 2000-10-19 | Paper |
| A pseudospectral collocation time-domain method for diffractive optics | 2000-05-08 | Paper |
| On the analysis and construction of perfectly matched layers for the linearized Euler equations | 2000-03-29 | Paper |
| Spectral collocation time-domain modeling of diffractive optical elements | 2000-01-05 | Paper |
| Stable spectral methods for conservation laws on triangles with unstructured grids | 1999-08-23 | Paper |
| Numerical studies of localized wavefields governed by the Raman-extended derivative nonlinear Schrödinger equation | 1999-08-19 | Paper |
| A wavelet optimized adaptive multi-domain method | 1999-04-26 | Paper |
| Integration Preconditioning of Pseudospectral Operators. I. Basic Linear Operators | 1998-09-21 | Paper |
| A Stable Penalty Method for the Compressible Navier--Stokes Equations: III. Multidimensional Domain Decomposition Schemes | 1998-09-21 | Paper |
| From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex | 1998-05-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4356076 | 1998-02-19 | Paper |
| A Stable Penalty Method for the Compressible Navier--Stokes Equations: II. One-Dimensional Domain Decomposition Schemes | 1997-06-12 | Paper |
| A Stable Penalty Method for the Compressible Navier–Stokes Equations: I. Open Boundary Conditions | 1997-01-06 | Paper |
| Dynamical properties of vortical structures on the beta-plane | 1995-08-15 | Paper |
| Generation of tripolar vortical structures on the beta plane | 1993-12-20 | Paper |
| Dynamics of nonstationary dipole vortices | 1993-10-04 | Paper |
